450770400 has 288 divisors, whose sum is σ = 1673330400. Its totient is φ = 117043200.

The previous prime is 450770389. The next prime is 450770413. The reversal of 450770400 is 4077054.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 885346 + ... + 885854.

It is an arithmetic number, because the mean of its divisors is an integer number (5810175).

Almost surely, 2^450770400 is an apocalyptic number.

450770400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836665200).

450770400 is an abundant number, since it is smaller than the sum of its proper divisors (1222560000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450770400 is a wasteful number, since it uses less digits than its factorization.

450770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 450770400 is about 21231.3541725440. The cubic root of 450770400 is about 766.7464903234.

The spelling of 450770400 in words is "four hundred fifty million, seven hundred seventy thousand, four hundred".